Publication:
Método LDG para la ecuación de difusión fraccionaria en 1D
Método LDG para la ecuación de difusión fraccionaria en 1D
dc.contributor.advisor | Castillo, Paul E. | |
dc.contributor.author | Alvarez, Michael | |
dc.contributor.college | College of Arts and Sciences - Sciences | en_US |
dc.contributor.committee | Steinberg, Lev | |
dc.contributor.committee | Rozga, Krzysztof | |
dc.contributor.department | Department of Mathematics | en_US |
dc.contributor.representative | Araya, Guillermo | |
dc.date.accessioned | 2018-07-26T15:41:53Z | |
dc.date.available | 2018-07-26T15:41:53Z | |
dc.date.issued | 2018-01-24 | |
dc.description.abstract | This thesis describes an implementation of the Local Discontinuous Galerkin LDG method applied to a problem of fractional diffusion. The discrete formulation of the associated system is discussed, with emphasis on the construction of the fractional operator. A strategy is provided to add a term of stability in the primary variable, unlike other implementations that stabilize the method by penalizing in the auxiliary variable, in such a way that convergence order is obtained O (h p+1 ) for polynomials of degree p. Additionally, numerical experiments are shown in which little regularity is needed, on the part of the exact solution, to obtain optimum convergence. | en_US |
dc.description.graduationSemester | Spring | en_US |
dc.description.graduationYear | 2018 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.11801/762 | |
dc.language.iso | es | en_US |
dc.rights.holder | Michael Alvarez | en_US |
dc.rights.license | All rights reserved | en_US |
dc.subject | method, ldg, fractional, diffusion, equation, 1D, metodo, fraccionario, difusion, ecuacion, | en_US |
dc.subject.lcsh | Galerkin methods | en_US |
dc.subject.lcsh | Fractional differential equations | en_US |
dc.subject.lcsh | Convergence | en_US |
dc.title | Método LDG para la ecuación de difusión fraccionaria en 1D | en_US |
dc.title.alternative | Local discontinuous Galerkin (LDG) method applied to fractional diffusion equations in 1D | en_US |
dc.type | Thesis | en_US |
dspace.entity.type | Publication | |
thesis.degree.discipline | Applied Mathematics | en_US |
thesis.degree.level | M.S. | en_US |
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